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Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics

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Abstract

The asymptotic behavior of solutions of the Cauchy problem for the linearized system of magnetohydrodynamic equations with initial conditions localized near a two-dimensional surface was obtained by the authors earlier. Here, this asymptotic behavior is refined.

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References

  1. A. I. Allilueva and A. I. Shafarevich, “Nonstandard Characteristics and Localized Asymptotpic Solutions for the Linearized MHD Equations with Small Viscosity and Conductivity,” Theor. Math. Phys., (2017) (in press).

    Google Scholar 

  2. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluid (Cambridge: Cambridge University Press, 1978).

    Google Scholar 

  3. V. I. Arnold and B. A. Khesin, Topological Methods in Hydrodynamics (Springer, 1998).

    MATH  Google Scholar 

  4. Yu. B. Zeldovich, A. A. Ruzmaikin, and D. Sokolov, Magnetic Fields in Astrophysics (Gordon Breach, 1983).

    Google Scholar 

  5. S. Friedlander and M. M. Vishik, “On Stability and Instability Criteria for Magnetohydrodynamics,” Chaos 5 (2), 416–423 (1995).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. V. V. Kucherenko, “Waves in the Linearized System of Magnetohydrodynamics,” Russ. J. Math. Phys. 17 (3), 272–279 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  7. V. V. Kucherenko and A. Kryvko, “Interaction of Alfven Waves in the Linearized System of Magnetohydrodynamics for an Incompressible Ideal Fluid,” Russ. J. Math. Phys. 20 (1), 56–67 (2013).

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. A. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo, 101-1, 119526, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

  2. Faculty of Mechanics and Mathematics, Moscow, Vorob’evy gory, Lomonosov Moscow State University, 119899, Moscow, Russia

    A. I. Shafarevich

  3. Moscow Institute of Physics and Technology (State University), Inststitutskii per., 9, Dolgoprudny, Moscow region, 141700, Russia

    A. I. Allilueva & A. I. Shafarevich

  4. National Research Centre “Kurchatov Institute”, pl. Kurchatova, 1, 123182, Moscow, Russia

    A. I. Allilueva & A. I. Shafarevich

Authors
  1. A. I. Allilueva
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  2. A. I. Shafarevich
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Correspondence to A. I. Allilueva.

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Allilueva, A.I., Shafarevich, A.I. Asymptotic support of localized solutions of the linearized system of magnetohydrodynamics. Russ. J. Math. Phys. 23, 425–430 (2016). https://doi.org/10.1134/S1061920816040014

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  • DOI: https://doi.org/10.1134/S1061920816040014

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